A recent study reported that 1.5 percent of flights are canceled by major air carriers. Consider a simulation with 50 trials des
igned to estimate the number of canceled flights from a random sample of size 100, where the probability of success, a canceled flight, is 0.015.
1 answer:
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Answer:
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.
Step-by-step explanation:
For each citizen, there are only two possible outcomes. Either they have a cellphone, or they do not. The probability of a citizen having a cellphone is independent of any other citizen. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A report by the US government states that 85,5% of citizens have a cell phone.
This means that
You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.
This is when
. So
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.